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Finding the Fourth Proportional to 8,537.91, 12,803.41 and 3,857.73

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Solution

The fourth proportional to 8,537.91, 12,803.41 and 3,857.73 is: 5,785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.91 : 12,803.41 = 3,857.73 : x
  2. Step 2: Convert to fraction form
    8,537.91/12,803.41 = 3,857.73/x
  3. Step 3: Cross multiply
    8,537.91x = 12,803.41 × 3,857.73
  4. Step 4: Simplify right side
    8,537.91x = 49,392,098.86
  5. Step 5: Solve for x
    x = 49,392,098.86/8,537.91
  6. Step 6: Final answer
    x = 5,785.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.